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Figure I and Figure II are similar figures.
Figure I
Figure II
Which proportion must be true?

(RS)/(AB)=(TU)/(CD)quad(TU)/(AB)=(UV)/(AF)
Option 1
Option 2

(ST)/(EF)=(WR)/(CD)quad(WV)/(AB)=(ST)/(EF)

Figure I and Figure II are similar figures. $\newline$ Figure I $\newline$ Figure II $\newline$ Which proportion must be true? $\newline$ $\frac{R S}{A B}=\frac{T U}{C D} \quad \frac{T U}{A B}=\frac{U V}{A F}$ $\newline$ Option $1$ $\newline$ Option $2$ $\newline$ $\frac{S T}{E F}=\frac{W R}{C D} \quad \frac{W V}{A B}=\frac{S T}{E F}$

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Simplify rational expressions

Full solution

Q. Figure I and Figure II are similar figures.

\newline

Figure I

\newline

Figure II

\newline

Which proportion must be true?

\newline

\frac{R S}{A B}=\frac{T U}{C D} \quad \frac{T U}{A B}=\frac{U V}{A F}

\newline

Option

1

\newline

Option

2

\newline

\frac{S T}{E F}=\frac{W R}{C D} \quad \frac{W V}{A B}=\frac{S T}{E F}

Identify Similar Figures: Since the figures are similar, corresponding sides are in proportion.
Match Corresponding Sides: We need to match the corresponding sides of Figure $I$ and Figure $II$ to set up the correct proportion.
Set Up Proportions: If $RS$ corresponds to $TU$ and $AB$ corresponds to $CD$ , then the proportion $(RS)/(AB) = (TU)/(CD)$ should be true.
Verify Proportions: Similarly, if $ST$ corresponds to $WV$ and $EF$ corresponds to $AB$ , then the proportion $\frac{ST}{EF} = \frac{WR}{CD}$ should be true.
Select Correct Option: The other proportions given do not match corresponding sides correctly, so they can't be true.
Select Correct Option: The other proportions given do not match corresponding sides correctly, so they can't be true.Therefore, Option $1$ is the correct proportion.

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